Which of the following statements is correct about the average kinetic energy of the molecules of a gas?

The correct statement about the average kinetic energy of the molecules of a gas is that it increases with an increase in temperature. This is because temperature is directly proportional to the average kinetic energy of gas molecules. When the temperature of a gas is increased, the molecules gain more kinetic energy and move faster, colliding with each other and the container more frequently and with greater force. Therefore, the average kinetic energy of the gas molecules increases with an increase in temperature. The other options are incorrect because an increase in pressure or volume does not necessarily cause an increase in the average kinetic energy of the gas molecules, and the average kinetic energy does not increase at constant temperature.